Question

Quadrilateral WXYZ has coordinates W(−3, 2), X(1, 3), Y(2, −2), and Z(−1, −2). What are the coordinates of the vertices of D2(WXYZ)?

Answer 1

To find the coordinates of the vertices of D2(WXYZ), you need to find the midpoints between each pair of corresponding coordinates.

Step-by-step explanation:

The coordinates of the vertices of quadrilateral WXYZ are W(-3, 2), X(1, 3), Y(2, -2), and Z(-1, -2). To find the coordinates of the vertices of D2(WXYZ), we need to find the midpoint between each pair of corresponding coordinates.

The midpoint formula is found by taking the average of the x-coordinates and the average of the y-coordinates. For example, the midpoint between W and X is ({{(-3+1)/2}}, {{(2+3)/2}}) = (-1, 2.5). Applying this formula to each pair of corresponding coordinates, the coordinates of the vertices of D2(WXYZ) are:

• D2(W) = (-1, 2.5)
• D2(X) = (0.5, 2.5)
• D2(Y) = (1.5, -2)
• D2(Z) = (-0.5, -2)